New Fixed-Point Theorems on an S -metric Space via Simulation Functions

Nabil Mlaiki, Nihal Yılmaz Özgür and Nihal Taş
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Nabil Mlaiki: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nihal Yılmaz Özgür: Department of Mathematics, Balıkesir University, 10145 Balıkesir, Turkey
Nihal Taş: Department of Mathematics, Balıkesir University, 10145 Balıkesir, Turkey

Mathematics, 2019, vol. 7, issue 7, 1-13

Abstract: In this paper, we prove new fixed-point theorems using the set of simulation functions on an S -metric space with some illustrative examples. Our results are stronger than some known fixed-point results. Furthermore, we give an application to the fixed-circle problem with respect to a simulation function.

Keywords: fixed point; fixed disc; S-metric space; simulation function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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